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Simplifying 8x + -1(3x + 5) = 6x + -46 Reorder the terms: 8x + -1(5 + 3x) = 6x + -46 8x + (5 * -1 + 3x * -1) = 6x + -46 8x + (-5 + -3x) = 6x + -46 Reorder the terms: -5 + 8x + -3x = 6x + -46 Combine like terms: 8x + -3x = 5x -5 + 5x = 6x + -46 Reorder the terms: -5 + 5x = -46 + 6x Solving -5 + 5x = -46 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 5x + -6x = -46 + 6x + -6x Combine like terms: 5x + -6x = -1x -5 + -1x = -46 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -1x = -46 + 0 -5 + -1x = -46 Add '5' to each side of the equation. -5 + 5 + -1x = -46 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -46 + 5 -1x = -46 + 5 Combine like terms: -46 + 5 = -41 -1x = -41 Divide each side by '-1'. x = 41 Simplifying x = 41
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